Math: Algebra

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Landon can climb a certain hill at a rate that is 2.5 mph slower than his rate coming down the hill. If it takes him 6 hours to climb the hill and 45 minutes to come down the hill, what is his rate coming down?

  • Math: Algebra -

    the distance is the same

    Let s be his uphill speed

    d/s = 6
    d/(s+2.5) = .75

    6s = .75(s+2.5)
    6s = 3s/4 + 15/8
    48s = 6s + 15
    42s = 15
    s = 15/42 = 5/14

    So, he can go up at 5/14 mph and come down at 20/7 mph

    6*5/14 = 30/14
    3/4 * 20/7 = 60/28 = 30/14

    Looks like the hill is 15/7 miles long.

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